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3256564164 = 2237297318313
BaseRepresentation
bin1100001000011011…
…0011100111000100
322101221210121012120
43002012303213010
523132140023124
61255051245540
7143462224110
oct30206634704
98357717176
103256564164
111421277947
1276a7498b0
133cb8b4959
1422c710740
15140d72d79
hexc21b39c4

3256564164 has 96 divisors (see below), whose sum is σ = 9107185920. Its totient is φ = 886007808.

The previous prime is 3256564159. The next prime is 3256564169. The reversal of 3256564164 is 4614656523.

It is an interprime number because it is at equal distance from previous prime (3256564159) and next prime (3256564169).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3256564169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168672 + ... + 186984.

It is an arithmetic number, because the mean of its divisors is an integer number (94866520).

Almost surely, 23256564164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3256564164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553592960).

3256564164 is an abundant number, since it is smaller than the sum of its proper divisors (5850621756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3256564164 is a wasteful number, since it uses less digits than its factorization.

3256564164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18429 (or 18427 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 3256564164 is about 57066.3137411205. The cubic root of 3256564164 is about 1482.2446102310.

The spelling of 3256564164 in words is "three billion, two hundred fifty-six million, five hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 73 84 87 116 146 174 203 219 292 348 406 438 511 609 812 876 1022 1218 1533 2044 2117 2436 3066 4234 6132 6351 8468 12702 14819 18313 25404 29638 36626 44457 54939 59276 73252 88914 109878 128191 177828 219756 256382 384573 512764 531077 769146 1062154 1336849 1538292 1593231 2124308 2673698 3186462 3717539 4010547 5347396 6372924 7435078 8021094 9357943 11152617 14870156 16042188 18715886 22305234 28073829 37431772 38768621 44610468 56147658 77537242 112295316 116305863 155074484 232611726 271380347 465223452 542760694 814141041 1085521388 1628282082 3256564164